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SECOND LAW ANALYSIS OF MIXED CONVECTION OF MAGNETOHYDRODYNAMIC FLOW IN AN INCLINED SQUARE LID-DRIVEN ENCLOSURE

Year 2019, Volume: 5 Issue: 6 - Issue Name: Special Issue 10: International Conference on Progress in Automotive Technologies 2018, Istanbul, Turkey, 240 - 251, 08.10.2019
https://doi.org/10.18186/thermal.655023

Abstract

Second law of thermodynamics analysis is formulated for the case of laminar mixed convection in an inclined square lid-driven enclosure in the presence of magnetic field. Vertical sides of the enclosure moves upward when inclination angle is zero. Governing equations of flow and temperature in the form of stream function-vorticity formulation were solved numerically using the differential quadrature method. Governing parameters are: Richardson number (from 0.01 to 100), Prandtl number (from 0.1 to 1.0), inclination angle of enclosure (from 0 to 180), Hartmann number (from 0 to 100) and magnetic field direction (0). It is found that the inclination angle of enclosure is effective parameter on entropy generation especially for higher Richardson number (Ri > 1) due to domination of natural convection. However, Hartmann number is effective on both heat transfer and entropy generation for all values of Richardson and Prandtl numbers and it decreases the convective fluid flow and entropy generation.

References

  • [1] Shankar, P. N., Deshpande, M. D. (2000). Fluid mechanics in the driven cavity. Annual review of fluid mechanics, 32(1), 93-136.
  • [2] Ghia, U. K. N. G., Ghia, K. N., Shin, C. T. (1982). High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method. Journal of computational physics, 48(3), 387-411.
  • [3] Sharif, M. A. R. (2007). Laminar mixed convection in shallow inclined driven cavities with hot moving lid on top and cooled from bottom. Applied thermal engineering, 27(5-6), 1036-1042.
  • [4] Torrance, K., Davis, R., Eike, K., Gill, P., Gutman, D., Hsui, A., Zien, H. (1972). Cavity flows driven by buoyancy and shear. Journal of Fluid Mechanics, 51(2), 221-231.
  • [5] Iwatsu, R., Hyun, J. M., Kuwahara, K. (1993). Mixed convection in a driven cavity with a stable vertical temperature gradient. International Journal of Heat and Mass Transfer, 36(6), 1601-1608.
  • [6] Mohamad, A., Viskanta, R. (1993). Flow and thermal structures in a lid-driven cavity heated from below. Fluid Dynamics Research, 12(3), 173.
  • [7] Ogut, E. B. (2017). Effects of Prandtl number and Magnetic field on Mixed Convection Heat Transfer in an Inclined Lid-driven Enclosure. Karaelmas Science and Engineering Journal, 7(1), 145-153.
  • [8] Ece, M. C., Büyük, E. (2006). Natural-convection flow under a magnetic field in an inclined rectangular enclosure heated and cooled on adjacent walls. Fluid Dynamics Research, 38(8), 564.
  • [9] Chamkha, A. J. (2002). Hydromagnetic combined convection flow in a vertical lid-driven cavity with internal heat generation or absorption. Numerical Heat Transfer: Part A: Applications, 41(5), 529-546.
  • [10] Chamkha, A. J. (1998). Mixed convection flow along a vertical permeable plate embedded in a porous medium in the presence of a transverse magnetic field. Numerical Heat Transfer, Part A Applications, 34(1), 93-103.
  • [11] Mahmud, S., Fraser, R. A. (2004). Magnetohydrodynamic free convection and entropy generation in a square porous cavity. International Journal of Heat and Mass Transfer, 47(14-16), 3245-3256.
  • [12] Yilbas, B. S., Shuja, S. Z., Gbadebo, S. A., Al‐Hamayel, H. A., Boran, K. (1998). Natural convection and entropy generation in a square cavity. International journal of energy research, 22(14), 1275-1290.
  • [13] Magherbi, M., Abbassi, H., Brahim, A. B. (2003). Entropy generation at the onset of natural convection. International Journal of Heat and Mass Transfer, 46(18), 3441-3450.
  • [14] Narusawa, U. (2001). The second-law analysis of mixed convection in rectangular ducts. Heat and Mass Transfer, 37(2-3), 197-203.
  • [15] Mansour, R. B., Galanis, N., Nguyen, C. T. (2006). Dissipation and entropy generation in fully developed forced and mixed laminar convection. International journal of thermal sciences, 45(10), 998-1007.
  • [16] Tasnim, S. H., Mahmud, S. (2002). Mixed convection and entropy generation in a vertical annular space. Exergy, An International Journal, 2(4), 373-379.
  • [17] Mahmud, S., Fraser, R. A. (2002). Analysis of mixed convection—Radiation interaction in a vertical channel: Entropy generation. Exergy, an International journal, 2(4), 330-339.
  • [18] Bellman, R., Kashef, B. G., Casti, J. (1972). Differential quadrature: a technique for the rapid solution of nonlinear partial differential equations. Journal of computational physics, 10(1), 40-52.
  • [19] Shu, C. (2000). Mathematical Fundamentals of Differential Quadrature Method: Linear Vector Space Analysis and Function Approximation. In Differential Quadrature and Its Application in Engineering (pp. 1-24). Springer, London.
  • [20] De Vahl Davis, G. (1983). Natural convection of air in a square cavity: a bench mark numerical solution. International Journal for numerical methods in fluids, 3(3), 249-264.
  • [21] Shu, C., Ding, H., & Yeo, K. S. (2003). Local radial basis function-based differential quadrature method and its application to solve two-dimensional incompressible Navier–Stokes equations. Computer methods in applied mechanics and engineering, 192(7-8), 941-954.
Year 2019, Volume: 5 Issue: 6 - Issue Name: Special Issue 10: International Conference on Progress in Automotive Technologies 2018, Istanbul, Turkey, 240 - 251, 08.10.2019
https://doi.org/10.18186/thermal.655023

Abstract

References

  • [1] Shankar, P. N., Deshpande, M. D. (2000). Fluid mechanics in the driven cavity. Annual review of fluid mechanics, 32(1), 93-136.
  • [2] Ghia, U. K. N. G., Ghia, K. N., Shin, C. T. (1982). High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method. Journal of computational physics, 48(3), 387-411.
  • [3] Sharif, M. A. R. (2007). Laminar mixed convection in shallow inclined driven cavities with hot moving lid on top and cooled from bottom. Applied thermal engineering, 27(5-6), 1036-1042.
  • [4] Torrance, K., Davis, R., Eike, K., Gill, P., Gutman, D., Hsui, A., Zien, H. (1972). Cavity flows driven by buoyancy and shear. Journal of Fluid Mechanics, 51(2), 221-231.
  • [5] Iwatsu, R., Hyun, J. M., Kuwahara, K. (1993). Mixed convection in a driven cavity with a stable vertical temperature gradient. International Journal of Heat and Mass Transfer, 36(6), 1601-1608.
  • [6] Mohamad, A., Viskanta, R. (1993). Flow and thermal structures in a lid-driven cavity heated from below. Fluid Dynamics Research, 12(3), 173.
  • [7] Ogut, E. B. (2017). Effects of Prandtl number and Magnetic field on Mixed Convection Heat Transfer in an Inclined Lid-driven Enclosure. Karaelmas Science and Engineering Journal, 7(1), 145-153.
  • [8] Ece, M. C., Büyük, E. (2006). Natural-convection flow under a magnetic field in an inclined rectangular enclosure heated and cooled on adjacent walls. Fluid Dynamics Research, 38(8), 564.
  • [9] Chamkha, A. J. (2002). Hydromagnetic combined convection flow in a vertical lid-driven cavity with internal heat generation or absorption. Numerical Heat Transfer: Part A: Applications, 41(5), 529-546.
  • [10] Chamkha, A. J. (1998). Mixed convection flow along a vertical permeable plate embedded in a porous medium in the presence of a transverse magnetic field. Numerical Heat Transfer, Part A Applications, 34(1), 93-103.
  • [11] Mahmud, S., Fraser, R. A. (2004). Magnetohydrodynamic free convection and entropy generation in a square porous cavity. International Journal of Heat and Mass Transfer, 47(14-16), 3245-3256.
  • [12] Yilbas, B. S., Shuja, S. Z., Gbadebo, S. A., Al‐Hamayel, H. A., Boran, K. (1998). Natural convection and entropy generation in a square cavity. International journal of energy research, 22(14), 1275-1290.
  • [13] Magherbi, M., Abbassi, H., Brahim, A. B. (2003). Entropy generation at the onset of natural convection. International Journal of Heat and Mass Transfer, 46(18), 3441-3450.
  • [14] Narusawa, U. (2001). The second-law analysis of mixed convection in rectangular ducts. Heat and Mass Transfer, 37(2-3), 197-203.
  • [15] Mansour, R. B., Galanis, N., Nguyen, C. T. (2006). Dissipation and entropy generation in fully developed forced and mixed laminar convection. International journal of thermal sciences, 45(10), 998-1007.
  • [16] Tasnim, S. H., Mahmud, S. (2002). Mixed convection and entropy generation in a vertical annular space. Exergy, An International Journal, 2(4), 373-379.
  • [17] Mahmud, S., Fraser, R. A. (2002). Analysis of mixed convection—Radiation interaction in a vertical channel: Entropy generation. Exergy, an International journal, 2(4), 330-339.
  • [18] Bellman, R., Kashef, B. G., Casti, J. (1972). Differential quadrature: a technique for the rapid solution of nonlinear partial differential equations. Journal of computational physics, 10(1), 40-52.
  • [19] Shu, C. (2000). Mathematical Fundamentals of Differential Quadrature Method: Linear Vector Space Analysis and Function Approximation. In Differential Quadrature and Its Application in Engineering (pp. 1-24). Springer, London.
  • [20] De Vahl Davis, G. (1983). Natural convection of air in a square cavity: a bench mark numerical solution. International Journal for numerical methods in fluids, 3(3), 249-264.
  • [21] Shu, C., Ding, H., & Yeo, K. S. (2003). Local radial basis function-based differential quadrature method and its application to solve two-dimensional incompressible Navier–Stokes equations. Computer methods in applied mechanics and engineering, 192(7-8), 941-954.
There are 21 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Articles
Authors

Elif Büyük Öğüt 0000-0001-7037-9018

Publication Date October 8, 2019
Submission Date February 7, 2018
Published in Issue Year 2019 Volume: 5 Issue: 6 - Issue Name: Special Issue 10: International Conference on Progress in Automotive Technologies 2018, Istanbul, Turkey

Cite

APA Büyük Öğüt, E. (2019). SECOND LAW ANALYSIS OF MIXED CONVECTION OF MAGNETOHYDRODYNAMIC FLOW IN AN INCLINED SQUARE LID-DRIVEN ENCLOSURE. Journal of Thermal Engineering, 5(6), 240-251. https://doi.org/10.18186/thermal.655023
AMA Büyük Öğüt E. SECOND LAW ANALYSIS OF MIXED CONVECTION OF MAGNETOHYDRODYNAMIC FLOW IN AN INCLINED SQUARE LID-DRIVEN ENCLOSURE. Journal of Thermal Engineering. October 2019;5(6):240-251. doi:10.18186/thermal.655023
Chicago Büyük Öğüt, Elif. “SECOND LAW ANALYSIS OF MIXED CONVECTION OF MAGNETOHYDRODYNAMIC FLOW IN AN INCLINED SQUARE LID-DRIVEN ENCLOSURE”. Journal of Thermal Engineering 5, no. 6 (October 2019): 240-51. https://doi.org/10.18186/thermal.655023.
EndNote Büyük Öğüt E (October 1, 2019) SECOND LAW ANALYSIS OF MIXED CONVECTION OF MAGNETOHYDRODYNAMIC FLOW IN AN INCLINED SQUARE LID-DRIVEN ENCLOSURE. Journal of Thermal Engineering 5 6 240–251.
IEEE E. Büyük Öğüt, “SECOND LAW ANALYSIS OF MIXED CONVECTION OF MAGNETOHYDRODYNAMIC FLOW IN AN INCLINED SQUARE LID-DRIVEN ENCLOSURE”, Journal of Thermal Engineering, vol. 5, no. 6, pp. 240–251, 2019, doi: 10.18186/thermal.655023.
ISNAD Büyük Öğüt, Elif. “SECOND LAW ANALYSIS OF MIXED CONVECTION OF MAGNETOHYDRODYNAMIC FLOW IN AN INCLINED SQUARE LID-DRIVEN ENCLOSURE”. Journal of Thermal Engineering 5/6 (October 2019), 240-251. https://doi.org/10.18186/thermal.655023.
JAMA Büyük Öğüt E. SECOND LAW ANALYSIS OF MIXED CONVECTION OF MAGNETOHYDRODYNAMIC FLOW IN AN INCLINED SQUARE LID-DRIVEN ENCLOSURE. Journal of Thermal Engineering. 2019;5:240–251.
MLA Büyük Öğüt, Elif. “SECOND LAW ANALYSIS OF MIXED CONVECTION OF MAGNETOHYDRODYNAMIC FLOW IN AN INCLINED SQUARE LID-DRIVEN ENCLOSURE”. Journal of Thermal Engineering, vol. 5, no. 6, 2019, pp. 240-51, doi:10.18186/thermal.655023.
Vancouver Büyük Öğüt E. SECOND LAW ANALYSIS OF MIXED CONVECTION OF MAGNETOHYDRODYNAMIC FLOW IN AN INCLINED SQUARE LID-DRIVEN ENCLOSURE. Journal of Thermal Engineering. 2019;5(6):240-51.

IMPORTANT NOTE: JOURNAL SUBMISSION LINK http://eds.yildiz.edu.tr/journal-of-thermal-engineering